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Register a new userThe Sommerfeld asymptotic conditions for displacements in Hooke elastic body with no vanishing body loads harmonically varying in time
شروط سومرفيلد المقاربية للإزاحات في جسم هوك الخاضع لحمول حجمية متغيرة توافقياً مع الزمن
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محور البحث هو نموذج لامي الرياضي للجسم المرن، المتجانس و الإيزوتروبي (أي: الموحد خواص المرونة) و لإويزوتيرمي (أي المتساوي درجات الحرارة) و المهمل البنية الجزيئية و ذي التشوهات الصغيرة، في إطار النظرية الخطية للمرونة، الكلاسيكية، و المدروس من قبل الباحث Hooke, و الذي سنرمز له اختصارا بالرمز (H) خلال البحث.
This paper relates to the mathematical, linear model of elastic, homogeneous and isotropic body of neglected structure and infinitesimal elastic deformations in the linear theory of elasticity; proposed by Hooke, and shortly called (H).
References used
Hanaa Kazem, , 2014 – The Sommerfeld radiation conditions for the Nowacki's potential problem of the Hooke elastic body in the case of nonzero body loads, harmonically varying in time, Journal of Al-Baath University,Vol.36, Nr.2, p.119 -136
Kamel Mouhamad, Mountajab Al-Hasan, 2011 – An integral – differential mathematical model of elastic body in the frame of linear dynamic thermoelasticity, Journal of Al-Baath University, Vol.33, Nr.25, p.119 -148
Rasha Tulemat , 2010 – Transforming the Partial Differential Equations of Elastic Body into Integral Equations on Spherical Surface, Dissertation , Faculty of Science , Al-Baath University
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This paper concerns the mathematical, linear model of elastic,
homogeneous and isotropic body, of neglected structure and of
small elastic deformations in the frame of linear theory of elasticity; proposed by Hooke, and shortly called (H). In this
paper, first, we write the displacement Lame equations for (H) elastic body, which initial configuration is unbounded, simply connected region in 3 R .Next, by using Stocks-Helmholtz theorem, we discuss the Nowacki's potential equations for the (H) elastic body. Then, we demonstrate the resulting equations from Lame equations for the displacement amplitudes, when the displacements and body loads varying harmonically in time. We, also demonstrate the resulting equations from the Nowacki's potential equations for the Nowacki's potential amplitudes, in the case when the Nowacki's potentials and body loads varying harmonically in time. Next, after demonstrating tow important theorems, giving volume-surface integral transforms
for Helmholtz differential operators, we derive an integral representations for the solutions of the nonhomogeneous Nowacki's potential equations, all these in form of surface integrals on the boundary of tow-order connected region, occupied by a part of the body, in the initial moment. Then, we discuss the asymptotic conditions of Sommerfeld type for the above mentioned solutions (which relate to the nonzero body loads varying harmonically in time), when the external surface of the tow-order connected region tends to the infinity. Finally, we end this paper by some important open problems.
This paper concerns the mathematical, linear model of elastic,
homogeneous and isotropic body, with neglected structure and
small elastic deformations, in the frame of linear theory of
elasticity; proposed by Hooke, and shortly called (H).
This paper concerns the mathematical model of Ignaczak kind for
the Eringen-Nowacki micropolar elastic body with six material
constants, subjected to temperature field, and initially occupying
a bounded simply connected region.
micropolar elastic body of Eringen-Nowacki type
الصيغ التكاملية التي تحدد حلول مسألة معادلات الحركة بالإجهادات و الحرارة
نمط إغناتشاك
الجسم المرن دقيق الاستقطاب من نوع إرينغين-نوفاتسكي
The integral formulas determinating the solution to the problem of the stress-temperature equations of motion of Ignaczak type
This paper aims to calculate regular classical and complementary, so regular total Ignaczak solutions coupled with temperature field ,occupying R3 , and with vanishing stresses and temperature on the boundary.
Evaluation of the management of cancer in the body and tail of
the pancreas with determining the role of surgery in the management of
these tumors.
The study was performed retrospectively. It included all patients
who were admitted in Al Assad Un
iversity Hospital in Damascus between
2003 and 2008 in the diagnosis of cancer in the body or tail of the pancreas.
The data were collected by reviewing the hospital files, radiological reports,
and surgical reports of these patients.
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